Experimental calibration of a Cahn-Hilliard phase-field model for phase transformations in Li-Sn electrodes
Srivatsan Hulikal, Chun-Hao Chen, Eric Chason, and Allan Bower

TL;DR
This paper calibrates a Cahn-Hilliard phase-field model for Li-Sn electrodes, integrating experiments, simulations, and analytics to accurately describe phase transformations and interface dynamics in battery materials.
Contribution
It introduces a concentration-gradient dependent mobility in the model, enabling realistic simulation of interface behavior during phase transformations.
Findings
Finite interface mobility captured by the model.
Quantitative parameters for Li-Sn system extracted.
Implications for battery electrode design discussed.
Abstract
Experiments, numerical simulations, and analytical calculations are used to calibrate a diffuse-interface Cahn-Hilliard model of Li-Sn thin film electrodes that experience a transformation from Sn to Li2Sn5. It is shown that a concentration-gradient dependent mobility can be used in the Cahn-Hilliard equation to give the interface a finite mobility and capture its nonequilibrium behavior. Comparing experiments and simulations, the free-energy of Li-Sn, diffusivity of Li in Sn and Li2Sn5, the exchange current density for the surface reaction, and the mobility of the Sn/Li2Sn5 interface are extracted. The implications of finite interface mobility for practical battery electrodes are discussed.
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